Transformations

Transformation Game 

Compound Interest Formula

Compound Interest: Interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan.

P = principal amount (the initial amount you borrow or deposit)

r = annual rate of interest (as a decimal)

t = number of years the amount is deposited or borrowed for.

n = number of times the interest is compounded per year

Graphing Exponential Equations

Graphing Exponential Growth/Decay

1. Create the Parent Graph.

2. Identify A,H,K.

3. Create your new T-Chart.

• Domain: All real #'s.
• Range: y>k; when a is positive. y<k; when a is negative.
• Asymptote: y=k.

4. Draw Asymptote.

5. Graph new points.

• Exponential Formula: y=a×b^x-h+k
• a = multiplier.

a>1 = stretch
0<a<1 = compression
a< 0(negative) = flipped over x-axis.

• b = base

b>1 = whole #, growth, always increasing.

0<b<1 = fraction; decay, always decreasing.

B is never negative only the multiplier is.

• h = lf/rt; opposite
• k = up/dn

Statistics Test

Statistics Test 

General Forms of a Sequence

A sequence is an ordered list of numbers and the sum of the terms of a sequence is a series

General Form of an Arithmetic Sequence

a_n = a₁ +(n - 1)d

 In an arithmetic sequence, each term is equal to the previous term, plus (or minus) a constant. The constant is called the common difference (d).

General Form of an Geometric Sequence

a_n = a₁·r^n-1

In a geometric sequence, each term is equal to the previous term, multiplied (or divided by) a constant. The constant is called the common ratio.To find the common ratio, divide the second term by the first term